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Finding the Fourth Proportional to 17,406.84, 24,019.02 and 10,237.08

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Solution

The fourth proportional to 17,406.84, 24,019.02 and 10,237.08 is: 14,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.84 : 24,019.02 = 10,237.08 : x
  2. Step 2: Convert to fraction form
    17,406.84/24,019.02 = 10,237.08/x
  3. Step 3: Cross multiply
    17,406.84x = 24,019.02 × 10,237.08
  4. Step 4: Simplify right side
    17,406.84x = 245,884,629.26
  5. Step 5: Solve for x
    x = 245,884,629.26/17,406.84
  6. Step 6: Final answer
    x = 14,125.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.